# Séminaires : Séminaire d'Algèbre

 Equipe(s) : gr, Responsables : J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud. Email des responsables : Jacques Alev , David Hernandez , Bernhard Keller , Thierry Levasseur , Sophie Morier-Genoud Salle : à distance / remote Adresse : IHP Description Depuis le 23 mars 2020, le séminaire se tient à distance. Pour les liens et mots de passe, merci de contacter l'un des organisateurs ou de souscrire à la liste de diffusion https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. L'information nécessaire sera envoyée par courrier électronique peu avant chaque exposé. Les notes et transparents sont disponibles ici.   Since March 23, 2020, the seminar has been taking place remotely. For the links and passwords, please contact one of the organizers or subscribe to the mailing list at https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. The connexion information will be emailed shortly before each talk. Slides and notes are available here.

 Orateur(s) Boris SHOIKHET - Anvers, Titre An approach to Deligne conjecture for (higher) monoidal abelian categories Date 21/10/2019 Horaire 14:00 à 15:00 Diffusion Résume In this talk, we discuss our approach to higher monoidal Deligne conjecture''. An interest to this statement raised after the proof of Kontsevich formality theorem given by D.Tamarkin. In this case, it says that the cohomological Hochschild complex of any associative algebra A has a structure of a homotopical 2-algebra. The corresponding monoidal abelian category is the category of A-bimodules.  We found a proof of a more general statement, which works for a general monoidal abelian category. We adapt the approach of Kock and Toen in their simplicial Deligne conjecture''. In the linear situation, we replace Segal monoids used by Kock and Toen by rather exotic objects called Leinster monoids. Rectification of Leinster monoids is one of our technical tools. Another technical tool is the Drinfeld dg quotient and its refined version, which enjoys a nicer monoidal behaviour. If time permits, we discuss some conceptual problems towards a higher-monoidal generalisation of our results. Salle à distance / remote Adresse IHP